SOLUTION: find three consecutive integers whose sum is 87

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Question 502981: find three consecutive integers whose sum is 87
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the first integer. So x+1 is the next consecutive integer and x+2 is the next consecutive integer after that.

Now add them up and set this sum equal to 87 and solve for x:

x%2B%28x%2B1%29%2B%28x%2B2%29=87

x%2Bx%2B1%2Bx%2B2=87

3x%2B3=87

3x=87-3

3x=84

x=84%2F3

x=28

So x%2B1=28%2B1=29 and x%2B2=28%2B2=30

This means that the three consecutive integers are 28, 29, and 30